To polish you will need the proper foam pads. The micro fibre pad is for removing wax(like already stated above). The first thing to do is decide how much paint correction will be needed-are the swirls heavy,medium or light? Does the car have any scratches? Is the paint oxidized? How hard is the clear coat?(there is a chart floating around these forums about this {for example- Corvettes are known to have very hard clear coat}. After figuring out these things you can then decide what polish will be best for your application- for example-heavy cut polish,medium cut polish,light cut polish and also what foam pad you will need to do the job-orange,yellow,white and so on -certain foam pads also have cutting power(different colors have different levels of cut) and other foam pads have no cutting power and are used for finishing polishes,wax application etc. When a heavy or medium cut polish is used it must be followed with a light cut polish to get maximum gloss. Cut is a word that means its level of abrasivness or polishing power. Do some reading on these things-order some polish,pads and go get a junk fender or hood or maybe you have a friend with a car that has seen better days and practice on it. Once you feel confident move on to your car. Dont get discouraged.Good luck!!
Dont go buy another polisher-the one you have is fine. They are just warning you that damage can be done-but if you take the right steps this can be avoided. Even a PC 7424 da can burn paint. Also the edges on a cars body have thinner paint and are the main areas that get burnt by polishing.